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<div><div dir="ltr">                <div class="ecxrmMessages ecxClearBoth" tabindex="-1" id="ecxReadMessageScrollableSection">                    <div class="ecxReadMsgFrom ecxFloatLeft">                          <div class="ecxrmButtons">                <span class="ecxrmPrev"><img src="https://bay182.mail.live.com/ol/clear.gif" class="ecxi_rm_p"></span><span class="ecxrmNext"><img src="https://bay182.mail.live.com/ol/clear.gif" class="ecxi_rm_n"></span><span class="ecxrmFull "><img src="https://bay182.mail.live.com/ol/clear.gif" class="ecxi_r_fv"></span><span class="ecxrmClose "><img src="https://bay182.mail.live.com/ol/clear.gif" class="ecxg_close"></span>                </div>      </div><div id="ecxreadMessagePartControl1429f" class="ecxc-ReadMessagePart ecxReadMsgContainer ecxHasLayout ecxClearBoth ecxHideShadows ecxFullPart ecxNoHistory ecxRead ecxRmIc"><div class="ecxpaddingtop ecxpaddingbottom"><div class="ecxc-ReadMessagePartHeader"><div class="ecxt_hov ecxMsgHover ecxMsgPartGradient ecxia_hc ecxExpanded">    </div>          </div>      </div>          <div class="ecxc-ReadMessagePartBody">                          <div class="ecxClearBoth">                        </div>        <div class="ecxClearBoth">                  </div>              <div class="ecxreadMsgBody">          <div id="ecxbodyreadMessagePartBodyControl1431f" class="ecxExternalClass ecxMsgBodyContainer">Boa tarde  Listeiros,<br><div dir="ltr"><br>Como iniciante em analise
 multivariada, estou tentando trabalhar com analise multivariada (em 
particular Analise fatorial), para fazer isso usei a função do 
"factanal" do package 'stats', e também a package 'FactorMineR'. A 
analise fatorial busca reduzir o numero de variáveis de um banco de 
dados e através de seus fatores (ou variáveis latentes) construir uma 
nova base de dados que represente de forma mais significante a variância
 do banco de dados original, correto?.<br><br>Segue o resultado utilizando a 'factanal'<br>Call:<br><font style="" color="#2672EC">factanal(x = dad, factors = 15, scores = c("Bartlett"), rotation = "varimax")</font><font style="" color="#2672EC"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">Uniquenesses:</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">  
 a1    a2    a3    a4    a5    a6    a7    a8    b1    b2    b3    b4   
 b5    b6    c1    c2    c3    c4    d1    d2    d3    d4    d5    d6   
 e1    f1 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">0.005
 0.614 0.305 0.239 0.218 0.237 0.657 0.588 0.013 0.120 0.318 0.074 0.279
 0.085 0.005 0.005 0.005 0.005 0.005 0.005 0.486 0.749 0.651 0.005 0.214
 0.005 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">   f2    f3    f4    g3    h1    h2    i1    i2    i3    i4    i5    i6    i7 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">0.714 0.554 0.260 0.181 0.605 0.674 0.301 0.005 0.005 0.005 0.005 0.005 0.652 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">Loadings:</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">   Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor7 Factor8 Factor9 Factor10 Factor11 Factor12 Factor13 Factor14 Factor15</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a1  0.290  -0.328   0.521           0.251   0.461           0.106                   -0.133             0.457                    </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a2                                 -0.117  -0.162           0.492           0.110                      0.271                    </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a3 -0.103  -0.334                   0.251   0.107                           0.233                      0.656                    </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a4  0.258  -0.223   0.161           0.145   0.729   0.116                                              0.120            -0.131  </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a5                  0.838                  -0.102                          -0.105   -0.117                                      </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a6         -0.192   0.811           0.125   0.111                                             0.119                             </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a7         -0.138   0.483   0.129           0.201                                                               0.132           </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a8         -0.151   0.546                   0.231                           0.105    0.105                                      </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">b1  0.886   0.387                  -0.127                                                                                       </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">b2  0.196   0.819  -0.170          -0.152  -0.149                           0.222                                        0.179  </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">b3  0.172   0.733                  -0.132  -0.203   0.135                                                                       </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">b4  0.136   0.889  -0.186          -0.152  -0.128                           0.125                                               </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">b5          0.735  -0.235          -0.191                                  -0.123                     -0.155            -0.170  </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">b6  0.848  -0.246                           0.290                                                                       -0.131  </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">c1  0.135                   0.952                                   0.241                                                       </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">c2  0.149                   0.454                                   0.582                                       0.632    0.119  </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">c3                          0.304                                   0.939                                                       </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">c4  0.126                   0.982                                                                                               </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">d1          0.247                           0.114   0.840                            0.446                                      </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">d2          0.125                                   0.960                            0.177                                      </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">d3                                                  0.121                            0.685                                      </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">d4                                                  0.184                            0.441                                      </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">d5          0.392                           0.232   0.119                                                       0.287           </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">d6  0.961   0.135                                  -0.163                                                                       </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">e1         -0.469   0.316           0.526   0.272  -0.174                                     0.116    0.127             0.193  </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">f1  0.961   0.205                                                                                                               </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">f2  0.329   0.199                          -0.348                                                                               </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">f3  0.387           0.402                           0.286                  -0.108    0.126            -0.110                    </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">f4  0.742  -0.224   0.133   0.112                  -0.186           0.107   0.122   -0.124                                      </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">g3  0.382  -0.200   0.353           0.342   0.558                           0.109                      0.114             0.208  </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">h1  0.598   0.132                                                                                                               </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">h2  0.188   0.222  -0.153   0.139   0.100                   0.184   0.117  -0.109                                        0.320  </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i1  0.229           0.297                   0.589          -0.357                                                        0.255  </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i2         -0.318   0.173           0.838   0.112           0.296           0.127   -0.133    0.102                             </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i3  0.120                                                   0.974                                     -0.115                    </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i4 -0.149  -0.346   0.143           0.774                  -0.437                   -0.116             0.122                    </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i5          0.171                                                           0.957                      0.155                    </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i6 -0.237  -0.154   0.152           0.119          -0.118                                     0.921                             </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i7 -0.117  -0.195  -0.173           0.290  -0.218  -0.178                            0.105    0.116    0.188             0.196  </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">              
 Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor7 Factor8 Factor9
 Factor10 Factor11 Factor12 Factor13 Factor14 Factor15</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">SS
 loadings      5.193   4.142   2.965   2.298   2.154   2.092   2.020   
1.704   1.350    1.209    1.090    0.993    0.948    0.559    0.437</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">Proportion
 Var   0.133   0.106   0.076   0.059   0.055   0.054   0.052   0.044   
0.035    0.031    0.028    0.025    0.024    0.014    0.011</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">Cumulative
 Var   0.133   0.239   0.315   0.374   0.430   0.483   0.535   0.579   
0.613    0.644    0.672    0.698    0.722    0.736    0.747</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">Test of the hypothesis that 15 factors are sufficient.</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">The chi square statistic is 1330.5 on 261 degrees of freedom.</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">The p-value is 1.01e-142 </font><font style="font-size:10pt;" size="2"><br></font><br>Com isso vem os questionamentos, que são:<br>1)
 a variância acumulada foi próximo ao 75%, considerada boa na literatura
 sobre o tema, além do Chi-square de 1330.5 e um valor p<0,05. A 
questão são os graus de liberdade. O quanto isso pode afetar o modelo 
fatorial?<br>2) Eu posso utilizar o 'lm' para construir o modelo com os scores ou fica redundante, caso afirmativo como seria esta função?<br>3) por fim com o modelo construido, como posso avalia-lo?<br><br>Muito obrigado pela ajuda <br><br>Att<br><br>Bruce<br><br><br><br><br>                                       </div>
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